Find the volumn of prism given figures​

Answer:

x = 4[tex]\sqrt{3}[/tex] , y = 4

Step-by-step explanation:

using the cosine and sine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 4[tex]\sqrt{3}[/tex]

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{8}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 8 ( divide both sides by 2 )

y = 4

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Actually Welcome to the concept of surface areas and volumes.

To get the volume of the whole irregular shape, we have to divide it into two regular parts, find the individual volume and then add up them to getthe whole volume.

Here we divide it into two separate parts. so we get as,

after solving, we get total volume as 1140 cm^3

Answer:

238

Step-by-step explanation:

First, you have to figure out the area for each of the boxes, and then you add all of the areas together

Answer:

A and B

Step-by-step explanation:

A. Since 2 angles are congruent you know that there has to be 2 equal sides

B. It has an obtuse angle which is 100 degrees.

C. Triangle has 2 congruent sides so this is incorrect

D. Not all sides are equal

E. Not all angles are acute

F. None of the angles are 90 degrees

Answer:

Step-by-step explanation:

#1. right 5 units

#2. down 2 units

#3. The translation rule is (5, -2)

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - [tex]\frac{4}{5}[/tex] and c = 2 , then

y = - [tex]\frac{4}{5}[/tex] x + 2 ← equation of line

Answer: 45

Step-by-step explanation: 2 1/4 = 2hr and 15 min

1/3 of 2hr and 15 min = 45

Amount of time spent by Nathan's family watching the video is 3/4 hour or 45 minutes.

Fractions are numbers which are of the form a/b where a and b are real numbers. This implies that a parts of a number b.

Here, a is called the numerator and b is called the denominator.

Given that,

Nathan’s family spent 2 and 1/4 hours visiting national monument near their home.

They watched a video in the visitor center for 1/3 of that time.

Total time spent by Nathan's family in the monument = 2 + 1/4 hours

                                                                                         = 9/4 hours

Fraction of time spend in watching the video = 1/3

Time spend in watching the video = 1/3 × 9/4

                                                         = 3/4 hour

                                                         = 45 minutes

Hence the time spent is 3/4 hour.

Learn more about Fractions here :

https://brainly.com/question/10354322

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Answer:

(- 2, 0 )

Step-by-step explanation:

to find where the line crosses the x- axis, let y = 0 in the equation and solve for x.

0 = 3x + 6 ( subtract 6 from both sides )

- 6 = 3x ( divide both sides by 3 )

- 2 = x

the line crosses the x- axis at (- 2, 0 )

Instead of y write 0:

0=3x+6

0=3x+6

Subtract 6 on both sides :

-6 = 3x

Switch the order :

3x = -6

Divide by 3 on both sides :

x = -2

Now that we know the x coordinate of the point, we should find the y coordinate, which is always equal to 0.

(-2, 0)

Answer:

504

Step-by-step explanation:

14x18x2=

(14x18)x2=

252x2=

504

Answer:

Explanation:

solve, insert equation 2 into 1

Find x:

x = 2(y)

x = 2(8)

x = 16

Answer:

y = 8

x = 16

Step-by-step explanation:

Given equations:

Reorganize the equations:

[tex]\left \{ {{x + y = 24} \atop {x = 2y}} \right.[/tex]

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

Subtract:

[tex]\left \{ {{x + y = 24} \atop {x - 2y = 0}} \right.[/tex]

[tex]{ {{[x - x] + [y - (-2y)]= 24 - 0}[/tex]

[tex]{ {{x - x + y + 2y= 24}[/tex]

[tex]3y= 24}[/tex]

Divide 3 both sides:

[tex]\dfrac{3y}{3} = \dfrac{24}{3} }[/tex]

[tex]y = 8[/tex]

Substitute y in any equation:

[tex]x = 2(y)[/tex]

[tex]x = 2(8) = 16[/tex]

Answer:

95,013

Step-by-step explanation:

If you use the formula A=L*W You multiply the width, 24 3/4, by how long it is, 39, 1/2. And you should get a rounded answer of 95,013!

Answer:

c

Step-by-step explanation:

I think its c because there is no relation between 2x-1 and 4-x ,it is not equals its + because there is no equals in a straight angle

Answer:

10

Step-by-step explanation:

use a number line

6 + 4 =10

Get total lengths by multiplying:

10 x 12.6 = 126

6 x 16.1 = 96.6

Add the total lengths together and divide by 16:

126 + 96.6 = 222.6

222.6 / 16 = 13.9125

Rounded to 2 decimal places = 13.91

answer: 13.91

Answer:

C is the answer please

C. 5^5/4

the scale of the airplane is 1/3 the size of its counter part

Answer:

Step-by-step explanation:

Find the dimensions of the kitchen, convert to feet

The area is

Answer:

5.56 ft² (nearest hundredth)

Step-by-step explanation:

Given:

If the scale is 1 : 20, then to scale up, multiply the width and length by 20:

⇒ width = 4 × 20 = 80 in

⇒ length = 5 × 20 = 100 in

Area = width × length

        = 80 × 100

        = 800 in²

1 ft = 12 in

⇒ 1 ft² = 12² in² = 144 in²

Therefore, to find the area of the room in square feet, divide the area in inches by 144:

⇒ area = 800 ÷ 144

            = 5.56 ft² (nearest hundredth)

Answer:

10.92cm square

Step-by-step explanation:

Area of a triangle= length * width/ 2

7.8*2.8=21.84

21.84/2=10.92

Answer:3p

Step-by-step explanation:

405 0p x 7

Answer:

The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

Therefore the slope, or the average rate of change, between these points is 2.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(9√5)   (5√10)

The leading interger product is found by multiplying 9 and 5

The leading integer product is 9*5 = 45

The radical product is (√5*10

Factor 10

radical product = √5*2*5

There are 2 fives underneath the radical. Take one out and ignore the other

radical product = 5√2

The 5 now multiplies by 45 and √2 becomes part of the answer

5*45√2

225√2

Answer:

Infinitely many solutions.

Step-by-step explanation:

[tex]3x+y=2[/tex]

[tex]6x+2y=4[/tex]

[tex]6x+2(2-3x)=4[/tex]

[tex]6x+4-6x=4[/tex]

[tex]6x-6x=4-4[/tex]

[tex]0=0[/tex]

Since the two equations are the same, the system of equations has infinitely many solutions.

Answer: the answer is 186

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

[tex]7^{4x-6}=\frac{1}{49}[/tex]

[tex]7^{4x-6}=7^{-2}[/tex]

4x - 6 = -2

4x = -2 + 6

4x = 4

(Divide both sides)

x = 1

We can find the sum of the interior angles of a regular polygon using the formula : (n-2) x 180, where n is the number of sides.

We replaced in : (24-2) x 180 = 3960

So, all the interior angles in this polygon add up to 3960.
-> Each interior angle is equal to 3960 : 24 = 165.

The amount of water Carol should be drinking per hour to meet her total fluid needs is 16.67 ounces.

Division is a mathematical operations that groups a number into equal parts using another number. The sign used to denote division is ÷.

Water to be drank per hour = total water drank / hours of hike

50 / 3 = 16.67 ounces

To learn more about division, please check: https://brainly.com/question/13281206

Answer:

Exact Form:

49/4

Decimal Form:

12.25

Mixed Number Form:

12 1/4

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

√x-2=√x-10

x-4√x+4=x-10

-4√x+4=-10

-4√x=-10-4

-4√x=-14

√x=7

-

2

x= 49

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44